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Finding the Fourth Proportional to 21,653.73, 32,486.31 and 9,174.33

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Solution

The fourth proportional to 21,653.73, 32,486.31 and 9,174.33 is: 13,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.73 : 32,486.31 = 9,174.33 : x
  2. Step 2: Convert to fraction form
    21,653.73/32,486.31 = 9,174.33/x
  3. Step 3: Cross multiply
    21,653.73x = 32,486.31 × 9,174.33
  4. Step 4: Simplify right side
    21,653.73x = 298,040,128.42
  5. Step 5: Solve for x
    x = 298,040,128.42/21,653.73
  6. Step 6: Final answer
    x = 13,763.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.